Class interval | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
Frequency | 10 | 6 | 8 | 12 | 5 |
Solution:
Class mark, xi = (upper class limit + lower class limit)/2
Class interval | Frequency fi | Class mark xi | fixi |
0-10 | 10 | 5 | 50 |
10-20 | 6 | 15 | 90 |
20-30 | 8 | 25 | 200 |
30-40 | 12 | 35 | 420 |
40-50 | 5 | 45 | 225 |
Total | Ʃfi = 41 | Ʃfixi = 985 |
Mean = Ʃfixi/ Ʃfi
= 985/41
= 24.024
= 24.02 (approx)
Hence the mean of the distribution is 24.02.